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Finding the Fourth Proportional to 1,472.10, 2,203.75 and 951.09

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Solution

The fourth proportional to 1,472.10, 2,203.75 and 951.09 is: 1,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.10 : 2,203.75 = 951.09 : x
  2. Step 2: Convert to fraction form
    1,472.10/2,203.75 = 951.09/x
  3. Step 3: Cross multiply
    1,472.10x = 2,203.75 × 951.09
  4. Step 4: Simplify right side
    1,472.10x = 2,095,964.59
  5. Step 5: Solve for x
    x = 2,095,964.59/1,472.10
  6. Step 6: Final answer
    x = 1,423.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.